# probability questions and answers examples

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Therefore, the events are pairwise disjoint, i.e., they are mutually exclusive. If a card is chosen in random from this set, find the possibility of choosing a yellow card or an ‘IMPORTANT’ card? [When we are adding at the place of OR] d. 3/7 1/4 2/7 1/5 Then, ∴ Required probability = P [( A and not I) or (I and not A)] What is the probability that Rashmi will win the match? 10/30 Two coins (a one rupee coin and a two rupee coin) are tossed once. Consider the experiment in which a coin is tossed repeatedly until a head comes up. Y = Event that Y speaks the truth b. a. d. 5/3 b. Solution: d. Let E be the event that the bulbs have life less than 800 hrs. As it will have 2 chances either a head or a tail. b. What is probability of drawing two hearts cards from a well shuffled pack of 52 cards? (iii) The frequency that tyre requires replacement between 4000 km and 14000 km = 210 + 325 = 535. c. 4/15 2/30 d. 55% 7. Probability Example 1. The probability of Sangeet winning the match is 0.62. b. a. The number of tests when students obtained more than 70% marks = 3. a. Solution: The total number of tests conducted is 5. The chapter Probability has been included in Class 9, 10, 11 and 12. 9. 1/8 Impossible event: The probability of an occurrence/event impossible to happen is 0. Solution: c, Total names in the lucky draw= 4×200+3×250+2×100, 17. Find the probability that both apples will show odd numbers. 1/7 What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled. Head on 1st coin and Tail on the 2nd coin = (H,T) = HT, Tail on 1st coin and Head on the 2nd coin = (T,H) = TH, Therefore, the sample space is S = {HH, HT, TH, TT}. Solution. Also, solving these probability problems will help them to participate in competitive exams, going further. What is the probability of it being a white shirt? If A and B represents the events, we have : The complement of an event A is denoted as A’ and is written as P (A’) = 1 – P (A). a. c. 50% The theoretical probability of an event E, P(E), is defined as: P(E) = (Number of outcomes favourable to E)/(Number of all possible outcomes of the experiment). In a certain state’s lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them … 45% 5/7 21. The probability of Sangeet to win = P(S) = 0.62, The probability of Rashmi to win = P(R) = 1 – P(S). b. c. 1/12 c. 5/18 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Check whether they form a set of mutually exclusive and exhaustive events. These are called face cards. For example, when a test is conducted, then the student can either get a pass or fail. a. Let E = event of getting a multiple of 2 or 5 d. 4/2 Now a shirt is picked from second basket. What is the probability that a Year-III’s name will be selected? a. = {2, 4 ,5,6,8,10, 12,14, 15,16, 18, 20}, 2. P(Y) = 90/100= 9/10 Assuming C to be the event in which both are selected. What is the probability that the ticket taken is a multiple of 2 or 5? … c. 1/4 P(X-lie) = 1−4/5 = 1/5 If a pen is drawn at random from the pack, replaced and the process is repeated 2 more times, what is the probability of drawing 2 blue pens and 1 black pen? d. 5/20 With Example, Session And Presentation Layer Protocol Tutorial With Example, Section A – This section contains important formulas, short tricks, concepts on Probability. Solution: a, When counting from 1 to 100, we have 1, 8, 27 and 64 as perfect cubes, So, the probability of getting a perfect cube is, 12. There are 200 Year-III, 250 Year-II and 100 Year-I students who applied. 19.If a is chosen at random from the set {1,2,3,4} and b is to be chosen at random from the set {5,6,7}, what is the probability that ab will be odd? Each Year-III’s name is placed in the lucky draw 4 times; each Year-II’s name 3 times and Year-I’s name, 2 times. The card is drawn at random. Clearly, there are 52 cards, out of which there are 16 face cards. Sample Probability questions with solutions. I = event that the friend is selected. d. 5/4, Probability   = [ Favourable outcomes]/ Total, 8. In a set of 20 game cards, 15 are black and rest are yellow. What is the probability of getting two numbers whose product is odd if we throw a dice two times simultaneously? Solution: c, The Probability of chances of getting a head when a single coin is tossed =1/2, Probability of getting 5 when a dice is thrown=1/6, 18.A card is taken from a pack of 52 cards. We need to find P(A or B). d. 13/18 6. If a tyre is bought from this company, what is the probability that : (i) it has to be substituted before 4000 km is covered? Probability of drawing 2 blue pens and 1 black pen = 3/9 * 3/9 * 5/9 = 45/729 = 5/81, 1. Refer to the above table and answer the question: 10. Probability of drawing another blue pen = 3/9 Outcomes: A possible result of a random experiment. Therefore, it is a very important chapter.